180988416 has 240 divisors, whose sum is σ = 619627008. Its totient is φ = 49766400.

The previous prime is 180988411. The next prime is 180988427. The reversal of 180988416 is 614889081.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180988411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999846 + ... + 1000026.

Almost surely, 2^180988416 is an apocalyptic number.

180988416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309813504).

180988416 is an abundant number, since it is smaller than the sum of its proper divisors (438638592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180988416 is a wasteful number, since it uses less digits than its factorization.

180988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 180988416 is about 13453.1935242157. The cubic root of 180988416 is about 565.6532147988.

The spelling of 180988416 in words is "one hundred eighty million, nine hundred eighty-eight thousand, four hundred sixteen".